A copper wire when bent in the form of a square encloses an area of 121 cm². If the same wire is bent into the form of a circle, find the area of the circle.
Mensuration
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Question

A copper wire when bent in the form of a square encloses an area of 121 cm². If the same wire is bent into the form of a circle, find the area of the circle.

KnowledgeBoat · Accepted Answer

Area of square = (side)² Given, Area of square = 121 cm² ∴ (side)² = 121 ⇒ (side)² = (11)² ⇒ side = 11 cm. Perimeter of square = 4 × side = 4 × 11 = 44 cm. Circumference of the circle of same wire = Perimeter of square of same wire Let radius of circle formed = r cm. ∴ 2πr = 44 ⇒ r = = 7 cm. Area of circle = πr² = = 154 cm². Hence, area of circle = 154 cm².

Mathematics

A copper wire when bent in the form of a square encloses an area of 121 cm². If the same wire is bent into the form of a circle, find the area of the circle.

Mensuration

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Mathematics

A copper wire when bent in the form of a square encloses an area of 121 cm2. If the same wire is bent into the form of a circle, find the area of the circle.

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A copper wire when bent in the form of a square encloses an area of 121 cm². If the same wire is bent into the form of a circle, find the area of the circle.